RSS feeds
ÐóññêèéEnglish
Issue 12, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2022

 / 

April

←  →

Reviews of topical problems


Anomalous Josephson effect

†  a, b, c
a Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region, Russian Federation
b University "Dubna", Universitetskaya str. 19, Dubna, Moscow Region, 141982, Russian Federation
c Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

This review is devoted to one of the most relevant areas of modern condensed matter physics, the anomalous Josephson effect (AJE), which consists of the appearance of a phase shift in a hybrid structure, leading to a finite superconducting current at zero phase difference. AJE reflects the joint manifestation of superconductivity, spin-orbit interaction, and magnetism, and the study of such structures allows progress in understanding their mutual influence, while also opening up promising applications in superconducting spintronics. This review describes the physics of the φ0 junction, the control of the magnetic properties of the barrier by means of a superconducting current, and, in turn, the effect of the magnetic moment of the barrier on the Josephson current. A discussion of new effective methods of magnetic moment reversal in the φ0 junction, in particular, by a superconducting current pulse, as well as studies of the quantum properties of Josephson nano„structures with magnetic and topologically nontrivial barriers for the creation of new superconducting spintronic devices, is presented. The experimental realization of the φ0 junction, which has recently been demonstrated in a number of studies by direct measurement of the current-phase relation, allows the magnitude of the spin-orbit coupling to be measured and opens up new possibilities for the phase control of Josephson devices. This research helps in understanding fundamental spin-dependent phenomena and developing applications for computer technology. In particular, control of the magnetic state by superconductivity opens up new possibilities for the development of ultrafast cryogenic memory. This review presents the results of studying the magnetic dynamics along the current--voltage characteristic of the φ0 junction and analysis of the spin dynamics in this junction. The question of the possibility of controlling the magnetic precession by the appearance of higher harmonics in the current--phase relation, as well as the DC component of the current, which significantly increase near ferromagnetic resonance, is considered. Interesting phenomena in the φ0 junction occur under the influence of external electromagnetic radiation. Thus, the review presents an anal„ysis of the main theoretical and experimental work devoted to AJE, gives examples of the manifestation of AJE in various systems, indicates the prospects for research in this area, and discusses unsolved problems.

Fulltext pdf (2.2 MB)
Fulltext is also available at DOI: 10.3367/UFNe.2020.11.038894
Keywords: superconducting spintronics, Josephson junction, anomalous Josephson effect, φ0 junction
PACS: 74.50.+r, 85.25.Cp, 85.75.−d (all)
DOI: 10.3367/UFNe.2020.11.038894
URL: https://ufn.ru/en/articles/2022/4/a/
000848072400001
2-s2.0-85145801834
2022PhyU...65..317S
Citation: Shukrinov Yu M "Anomalous Josephson effect" Phys. Usp. 65 317–354 (2022)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 26th, August 2020, revised: 30th, November 2020, 30th, November 2020

Îðèãèíàë: Øóêðèíîâ Þ Ì «Àíîìàëüíûé ýôôåêò Äæîçåôñîíà» ÓÔÍ 192 345–385 (2022); DOI: 10.3367/UFNr.2020.11.038894

References (206) ↓ Cited by (37) Similar articles (20)

  1. Linder J, Robinson J W A Nat. Phys. 11 307 (2015)
  2. Mai S et al Phys. Rev. B 84 144519 (2011)
  3. Buzdin A I Rev. Mod. Phys. 77 935 (2005)
  4. Golubov A A, Kupriyanov M Yu, Il’ichev E Rev. Mod. Phys. 76 411 (2004)
  5. Ghosh R, Maiti M, Shukrinov Yu M, Sengupta K Phys. Rev. B 96 174517 (2017)
  6. Buzdin A Phys. Rev. Lett. 101 107005 (2008)
  7. Konschelle F, Buzdin A Phys. Rev. Lett. 102 017001 (2009)
  8. Chudnovsky E M Phys. Rev. B 93 144422 (2016)
  9. Yokoyama T, Eto M, Nazarov Yu V Phys. Rev. B 89 195407 (2014)
  10. Minutillo M et al Phys. Rev. B 98 144510 (2018)
  11. Krive I V et al Phys. Rev. B 71 214516 (2005)
  12. Reynoso A A et al Phys. Rev. Lett. 101 107001 (2008)
  13. Alidoust M, Hamzehpour H Phys. Rev. B 96 165422 (2017)
  14. Alidoust M, Willatzen M, Jauho A-P Phys. Rev. B 98 085414 (2018)
  15. Braude V, Nazarov Yu V Phys. Rev. Lett. 98 077003 (2007)
  16. Zyuzin A, Alidoust M, Loss D Phys. Rev. B 93 214502 (2016)
  17. Zyuzin A, Spivak B Phys. Rev. B 61 5902 (2000)
  18. Alidoust M Phys. Rev. B 98 245418 (2018)
  19. Goldobin E et al Phys. Rev. Lett. 107 227001 (2011)
  20. Goldobin E, Koelle D, Kleiner R Phys. Rev. B 91 214511 (2015)
  21. Menditto R et al Phys. Rev. B 98 024509 (2018)
  22. Alidoust M, Linder J Phys. Rev. B 87 060503 (2013)
  23. Shapiro D S, Mirlin A D, Shnirman A Phys. Rev. B 98 245405 (2018)
  24. Spätt C Phys. Rev. B 98 054508 (2018)
  25. Dolcini F, Houzet M, Meyer J S Phys. Rev. B 92 035428 (2015)
  26. Konschelle F, Tokatly I V, Bergeret F S Phys. Rev. B 92 125443 (2015)
  27. Szombati D B et al Nat. Phys. 12 568 (2016)
  28. Assouline A et al Nat. Commun. 10 126 (2019)
  29. Mayer W et al Nat. Commun. 11 212 (2020)
  30. Strambini E et al Nat. Nanotechnol. 15 656 (2020)
  31. Waintal X, Brouwer P W Phys. Rev. B 65 054407 (2002)
  32. Braude V, Blanter Ya M Phys. Rev. Lett. 100 207001 (2008)
  33. Linder J, Yokoyama T Phys. Rev. B 83 012501 (2011)
  34. Shukrinov Yu M et al Appl. Phys. Lett. 110 182407 (2017)
  35. Shukrinov Yu M, Rahmonov I R, Sengupta K Phys. Rev. B 99 224513 (2019)
  36. Zazunov A et al Phys. Rev. Lett. 103 147004 (2009)
  37. Brunetti A et al Phys. Rev. B 88 144515 (2013)
  38. Nesterov K N, Houzet M, Meyer J S Phys. Rev. B 93 174502 (2016)
  39. Bergeret F S, Tokatly I V Europhys. Lett. 110 57005 (2015)
  40. Bobkova I V et al Phys. Rev. B 94 134506 (2016)
  41. Geshkenbein V B, Larkin A I Pis’ma ZhETF 43 306 (1986); Geshkenbein V B, Larkin A I JETP Lett. 43 395 (1986)
  42. Geshkenbein V B, Larkin A I, Barone A Phys. Rev. B 36 235 (1987)
  43. Yip S Phys. Rev. B 52 3087 (1995)
  44. Sigrist M Prog. Theor. Phys. 99 899 (1998)
  45. Tanaka Y, Kashiwaya S Phys. Rev. B 56 892 (1997)
  46. Schrade C, Hoffman S, Loss D Phys. Rev. B 95 195421 (2017)
  47. Dolcini F, Giazotto F Phys. Rev. B 75 140511 (2007)
  48. Silaev M A, Tokatly I V, Bergeret F S Phys. Rev. B 95 184508 (2017)
  49. Grein R et al Phys. Rev. Lett. 102 227005 (2009)
  50. Mironov S, Buzdin A Phys. Rev. B 92 184506 (2015)
  51. Liu J-F, Chan K S Phys. Rev. B 82 125305 (2010)
  52. Margaris I, Paltoglou V, Flytzanis N J. Phys. Condens. Matter 22 445701 (2010)
  53. Kulagina I, Linder J Phys. Rev. B 90 054504 (2014)
  54. Moor A, Volkov A F, Efetov K B Phys. Rev. B 92 180506 (2015)
  55. Moor A, Volkov A F, Efetov K B Phys. Rev. B 92 214510 (2015)
  56. Ryazanov V V et al Phys. Rev. Lett. 86 2427 (2001)
  57. Oboznov V A et al Phys. Rev. Lett. 96 197003 (2006)
  58. Feofanov A K et al Nat. Phys. 6 593 (2010)
  59. Kontos T et al Phys. Rev. Lett. 89 137007 (2002)
  60. Birge N O, Madden A E, Naaman O Proc. SPIE 10732 107321M (2018)
  61. Robinson J W A, Witt J D S, Blamire M G Science 329 59 (2010)
  62. Volkov A F, Anishchanka A, Efetov K B Phys. Rev. B 73 104412 (2006)
  63. Kalenkov M S, Zaikin A D, Petrashov V T Phys. Rev. Lett. 107 087003 (2011)
  64. Yokoyama T, Linder J Phys. Rev. B 92 060503 (2015)
  65. Mazanik A A, Rahmonov I R, Botha A E, Shukrinov Yu M Phys. Rev. Appl. 14 014003 (2020)
  66. Guarcello C, Bergeret F S Phys. Rev. Appl. 13 034012 (2020)
  67. Josephson B D Phys. Lett. 1 251 (1962)
  68. Rashba E I Fiz. Tverd. Tela 2 1224 (1960); Rashba E I Sov. Phys. Solid State 2 1109 (1960)
  69. Bychkov Yu A, Rashba E I Pis’ma ZhETF 39 66 (1984); Bychkov Yu A, Rashba E I JETP Lett. 39 78 (1984)
  70. Samokhin K V Phys. Rev. B 70 104521 (2004)
  71. Kaur R P, Agterberg D F, Sigrist M Phys. Rev. Lett. 94 137002 (2005)
  72. Eilenberger G Z. Phys. A 214 195 (1968)
  73. Usadel K D Phys. Rev. Lett. 25 507 (1970)
  74. Bell C et al Phys. Rev. Lett. 100 047002 (2008)
  75. Zhu J-X, Balatsky A V Phys. Rev. B 67 174505 (2003)
  76. Bulaevskii L et al Phys. Rev. Lett. 92 177001 (2004)
  77. Zhu J-X et al Phys. Rev. Lett. 92 107001 (2004)
  78. Nussinov Z et al Phys. Rev. B 71 214520 (2005)
  79. Takahashi S et al Phys. Rev. Lett. 99 057003 (2007)
  80. Houzet M Phys. Rev. Lett. 101 057009 (2008)
  81. Hikino S et al J. Phys. Soc. Jpn. 77 053707 (2008)
  82. Likharev K K Dynamics Of Josephson Junctions And Circuits (New York: Gordon and Beach Sci. Publ., 1986)
  83. Rusanov A Yu et al Phys. Rev. Lett. 93 057002 (2004)
  84. Lifshits E M, Pitaevskii L P Statisticheskaya Fizika Vol. 2 (M.: Fizmatlit, 1994); Per. na angl. yaz., Lifshitz E M, Pitaevskii L P Statistical Physics Vol. 2 (Oxford: Pergamon Press, 1980)
  85. Shukrinov Yu M, Mahfouzi F, Pedersen N F Phys. Rev. B 75 104508 (2007)
  86. Buckel W, Kleiner R Superconductivity: Fundamentals And Applications (Weinheim: Wiley-VCH, 2004)
  87. Shukrinov Yu M, Rakhmonov I R Fiz. Elem. Chast. At. Yad. 51 951 (2020); Shukrinov Y M, Rahmonov I R Phys. Part. Nucl. 51 816 (2020)
  88. Shukrinov Yu M, Rakhmonov I R, Kulikov K V Pis’ma ZhETF 96 657 (2012); Shukrinov Yu M, Rahmonov I R, Kulikov K V JETP Lett. 96 588 (2012)
  89. Shukrinov Yu M et al Supercond. Sci. Technol. 30 024006 (2017)
  90. Rakhmonov I R, Shukrinov Yu M, Davud R Pis’ma ZhETF 103 444 (2016); Shukrinov Y M, Rahmonov I R, Davoud R JETP Lett. 103 395 (2016)
  91. Sellier H et al Phys. Rev. Lett. 92 257005 (2004)
  92. Kapitsa P L Usp. Fiz. Nauk 44 7 (1951)
  93. Landau L D, Lifshits E M Mekhanika (M.: Nauka, 1993); Per. na angl. yaz., Landau L D, Lifshitz E M Mechanics (Oxford: Pergamon Press, 1987)
  94. Citro R et al Ann. Physics 360 694 (2015)
  95. Boukobza E et al Phys. Rev. Lett. 104 240402 (2010)
  96. Shukrinov Yu M et al Europhys. Lett. 122 37001 (2018)
  97. Chudnovsky E M, Tejada J Macroscopic Quantum Tunneling Of The Magnetic Moment (Cambridge Studies in Magnetism) Vol. 4 (Cambridge: Cambridge Univ. Press, 1998)
  98. Chudnovsky E M, Gunther L Phys. Rev. Lett. 60 661 (1988)
  99. Chudnovsky E M, Tejada J Lectures On Magnetism (Princeton, NJ: Rinton Press, 2006)
  100. Cai L, Chudnovsky E M Phys. Rev. B 82 104429 (2010)
  101. Rabinovich D S et al Phys. Rev. Lett. 123 207001 (2019)
  102. Rabinovich D S, Bobkova I V, Bobkov A M Phys. Rev. Res. 1 033095 (2019)
  103. Qi X-L, Zhang S-C Rev. Mod. Phys. 83 1057 (2011)
  104. Castro Neto A H et al Rev. Mod. Phys. 81 109 (2009)
  105. Charlier J-C, Blase X, Roche S Rev. Mod. Phys. 79 677 (2007)
  106. Mourik V et al Science 336 1003 (2012)
  107. Nikolaeva A et al Phys. Rev. B 77 075332 (2008)
  108. Alicea J Rep. Prog. Phys. 75 076501 (2012)
  109. Mironov S V, Mel’nikov A S, Buzdin A I Phys. Rev. Lett. 114 227001 (2015)
  110. Cayssol J, Kontos T, Montambaux G Phys. Rev. B 67 184508 (2003)
  111. Beenakker C W J Phys. Rev. Lett. 67 3836 (1991)
  112. Khaire T S et al Phys. Rev. Lett. 104 137002 (2010)
  113. Dell’Anna L et al Phys. Rev. B 75 085305 (2007)
  114. Doh Y-J et al Science 309 272 (2005)
  115. van Dam J A et al Nature 442 667 (2006)
  116. Sand-Jespersen T et al Phys. Rev. Lett. 99 126603 (2007)
  117. Eichler A et al Phys. Rev. B 79 161407 (2009)
  118. Takayanagi H, Akazaki T, Nitta J Phys. Rev. Lett. 75 3533 (1995)
  119. Tirelli S et al Phys. Rev. Lett. 101 077004 (2008)
  120. Nitta J et al Phys. Rev. Lett. 78 1335 (1997)
  121. Grundler D Phys. Rev. Lett. 84 6074 (2000)
  122. Sato Y et al J. Appl. Phys. 89 8017 (2001)
  123. Žutić I, Fabian J, Das Sarma S Rev. Mod. Phys. 76 323 (2004)
  124. Orlando T P et al Phys. Rev. B 60 15398 (1999)
  125. Makhlin Y, Schön G, Shnirman A Rev. Mod. Phys. 73 357 (2001)
  126. Clarke J The New Superconducting Elecronics (NATO ASI Ser. E) Vol. 251 (Eds H Weinstock, R W Ralston) (Dordrecht: Kluwer Acad., 1993) p. 123
  127. Solinas P et al Sci. Rep. 5 12260 (2015)
  128. Likharev K K, Semenov V K IEEE Trans. Appl. Supercond. 1 3 (1991)
  129. Eschrig M et al New J. Phys. 17 083037 (2015)
  130. Ustinov A V, Kaplunenko V K J. Appl. Phys. 94 5405 (2003)
  131. Bauer A et al Phys. Rev. Lett. 92 217001 (2004)
  132. Buzdin A I, Bulaevskii L N, Panyukov S V Pis’ma ZhETF 35 147 (1982); Buzdin A I, Bulaevskii L N, Panyukov S V JETP Lett. 35 178 (1982)
  133. Gürlich C et al Phys. Rev. B 81 094502 (2010)
  134. Mironov S et al Phys. Rev. B 96 214515 (2017)
  135. Goldobin E et al Phys. Rev. B 93 134514 (2016)
  136. Mironov S, Meng H, Buzdin A Appl. Phys. Lett. 116 162601 (2020)
  137. Silaev M A Phys. Rev. B 96 064519 (2017)
  138. Martínez-Pérez M J, Solinas P, Giazotto F J. Low Temp. Phys. 175 813 (2014)
  139. Maki K, GriffA Phys. Rev. Lett. 15 921 (1965)
  140. Guttman G D, Ben-Jacob E, Bergman D J Phys. Rev. B 57 2717 (1998)
  141. Zhao E, Löfwander T, Sauls J A Phys. Rev. B 69 134503 (2004)
  142. Ryazanov V V, Schmidt V V Solid State Commun. 40 1055 (1981)
  143. Giazotto F, Martínez-Pérez M J Nature 492 401 (2012)
  144. Guarcello C, Giazotto F, Solinas P Phys. Rev. B 94 054522 (2016)
  145. Fornieri A et al Phys. Rev. B 93 134508 (2016)
  146. Giazotto F, Bergeret F S Appl. Phys. Lett. 102 132603 (2013)
  147. Sothmann B, Hankiewicz E M Phys. Rev. B 94 081407 (2016)
  148. Fornieri A et al Nat. Nanotechnol. 12 425 (2017)
  149. Bergeret F S, Giazotto F Phys. Rev. B 89 054505 (2014)
  150. Wolf M J et al Phys. Rev. B 90 144509 (2014)
  151. Kolenda S et al Phys. Rev. B 95 224505 (2017)
  152. Senapati K, Blamire M G, Barber Z H Nat. Mater. 10 849 (2011)
  153. Tokuyasu T, Sauls J A, Rainer D Phys. Rev. B 38 8823 (1988)
  154. Bergeret F S, Volkov A F, Efetov K B Rev. Mod. Phys. 77 1321 (2005)
  155. Tanaka Y, Yokoyama T, Nagaosa N Phys. Rev. Lett. 103 107002 (2009)
  156. Fu L, Kane C L Phys. Rev. Lett. 100 096407 (2008)
  157. Hart S et al Nat. Phys. 10 638 (2014)
  158. Pribiag V S et al Nat. Nanotechnol. 10 593 (2015)
  159. Tkachov G et al Phys. Rev. B 92 045408 (2015)
  160. Lutchyn R M, Sau J D, Das Sarma S Phys. Rev. Lett. 105 077001 (2010)
  161. Oreg Y, Refael G, von Oppen F Phys. Rev. Lett. 105 177002 (2010)
  162. Nashaat M et al Phys. Rev. B 100 054506 (2019)
  163. Linder J et al Phys. Rev. B 81 184525 (2010)
  164. Hugdal H G, Linder J, Jacobsen S H Phys. Rev. B 95 235403 (2017)
  165. Yokoyama T, Zang J, Nagaosa N Phys. Rev. B 81 241410 (2010)
  166. Yokoyama T Phys. Rev. B 84 113407 (2011)
  167. Mahfouzi F, Nagaosa N, Nikolić B K Phys. Rev. Lett. 109 166602 (2012)
  168. Chen J, Abdul Jalil M B, Tan S G J. Phys. Soc. Jpn. 83 064710 (2014)
  169. Shukrinov Yu M i dr Pis’ma ZhETF 110 149 (2019); Shukrinov Y M et al JETP Lett. 110 160 (2019)
  170. Coffey W T et al Phys. Rev. Lett. 80 5655 (1998)
  171. Cai L, Garanin D A, Chudnovsky E M Phys. Rev. B 87 024418 (2013)
  172. Shukrinov Yu M et al Chaos 24 033115 (2014)
  173. Kautz R L, Monaco R J. Appl. Phys. 57 875 (1985)
  174. Mukhanov O A IEEE Trans. Appl. Supercond. 21 760 (2011)
  175. Herr Q P et al J. Appl. Phys. 109 103903 (2011)
  176. Nishijima S et al Supercond. Sci. Technol. 26 113001 (2013)
  177. Mayer W et al Appl. Phys. Lett. 114 103104 (2019)
  178. Bobkova I V, Bobkov A M, Silaev M A Phys. Rev. B 98 014521 (2018)
  179. Shukrinov Yu M, Rahmonov I R, Botha A E IEEE Trans. Appl. Supercond. 28 1800505 (2018)
  180. Atanasova P et al Numerical Methods and Applications. 9th Intern. Conf., NMA 2018, Borovets, Bulgaria, August 20-24, 2018, Revised Selected Papers (Lecture Notes in Computer Science) Vol. 1118 (Eds G Nikolov, N Kolkovska, K Georgiev) (Cham: Springer, 2019)
  181. Atanasova P Kh i dr Pis’ma ZhETF 110 736 (2019); Atanasova P Kh et al JETP Lett. 110 722 (2019)
  182. Baek B et al Nat. Commun. 5 3888 (2014)
  183. Madden A E et al Supercond. Sci. Technol. 32 015001 (2019)
  184. Nguyen M-H et al Sci. Rep. 10 248 (2020)
  185. Weber R et al J. Phys. D 52 325001 (2019)
  186. Papusoi C et al J. Phys. D 51 325002 (2018)
  187. Schoen M A et al Nat. Phys. 12 839 (2016)
  188. Campagnano G et al J. Phys. Condens. Matter 27 205301 (2015)
  189. Sickinger H et al Phys. Rev. Lett. 109 107002 (2012)
  190. Edelstein V M Solid State Commun. 73 233 (1990)
  191. Shen K, Vignale G, Raimondi R Phys. Rev. Lett. 112 096601 (2014)
  192. Yip S K Phys. Rev. B 65 144508 (2002)
  193. Wolos A et al Phys. Rev. B 93 155114 (2016)
  194. Hyde G R et al Solid State Commun. 13 257 (1973)
  195. Shabani J et al Phys. Rev. B 93 155402 (2016)
  196. Bøttcher C G L et al Nat. Phys. 14 1138 (2018)
  197. Suominen H J et al Phys. Rev. B 95 035307 (2017)
  198. Kjaergaard M et al Nat. Commun. 7 12841 (2016)
  199. Kjaergaard M et al Phys. Rev. Appl. 7 034029 (2017)
  200. Wickramasinghe K S et al Appl. Phys. Lett. 113 262104 (2018)
  201. Ren H et al Nature 569 93 (2019)
  202. Fornieri A et al Nature 569 89 (2019)
  203. Alidoust M, Shen C, Žutić I Phys. Rev. B 103 L060503 (2021)
  204. Mironov S V, Buzdin A I Phys. Rev. B 104 134502 (2021)
  205. Guarcello C, Bergeret F S Chaos Solitons Fractals 142 110384 (2021)
  206. Mel’nikov A S i dr Usp. Fiz. Nauk 192 (2022), prinyata k publikatsii; Mel’nikov A S et al Phys. Usp. 65 (2022), accepted
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions